2106469920 has 96 divisors (see below), whose sum is σ = 6747935040. Its totient is φ = 552197120.

The previous prime is 2106469919. The next prime is 2106469921. The reversal of 2106469920 is 299646012.

It is an interprime number because it is at equal distance from previous prime (2106469919) and next prime (2106469921).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2106469921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8871 + ... + 65510.

It is an arithmetic number, because the mean of its divisors is an integer number (70290990).

Almost surely, 2^2106469920 is an apocalyptic number.

2106469920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373967520).

2106469920 is an abundant number, since it is smaller than the sum of its proper divisors (4641465120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2106469920 is a wasteful number, since it uses less digits than its factorization.

2106469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74458 (or 74450 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2106469920 is about 45896.2952753270. The cubic root of 2106469920 is about 1281.8929349201.

The spelling of 2106469920 in words is "two billion, one hundred six million, four hundred sixty-nine thousand, nine hundred twenty".